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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)

Revision as of 18:13, 25 September 2012

5,502 bytes added ,  18:13, 25 September 2012
→‎6.24. Literal Intensional Representations: format tables
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<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:70%"
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Table 52.1 Notation for Instances & Their Signs (1)
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|+ style="height:30px" |
−
Instance Sign of Instance
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<math>\text{Table 52.1} ~~ \text{Notations for Instances and Their Signs (1)}\!</math>
−
[A] [A] [w1] <[A]> <[A]> <[w1]>
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|- style="height:40px; background:#f0f0ff"
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[B] [B] [w2] <[B]> <[B]> <[w2]>
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| <math>\text{Instance}\!</math>
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["A"] [<A>] [w3] <["A"]> <[<A>]> <[w3]>
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| <math>\text{Sign of Instance}\!</math>
−
["B"] [<B>] [w4] <["B"]> <[<B>]> <[w4]>
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|-
−
["i"] [<i>] [w5] <["i"]> <[<i>]> <[w5]>
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| width="50%" |
−
["u"] [<u>] [w6] <["u"]> <[<u>]> <[w6]>
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<math>\begin{matrix}
−
</pre>
+
{}^{\lbrack} \text{A} {}^{\rbrack} &
 +
{}^{\lbrack} \text{A} {}^{\rbrack} &
 +
{}^{\lbrack} w_1 {}^{\rbrack}
 +
\\[6pt]
 +
{}^{\lbrack} \text{B} {}^{\rbrack} &
 +
{}^{\lbrack} \text{B} {}^{\rbrack} &
 +
{}^{\lbrack} w_2 {}^{\rbrack}
 +
\\[12pt]
 +
{}^{\lbrack\backprime\backprime} \text{A} {}^{\prime\prime\rbrack} &
 +
{}^{\lbrack\langle} \text{A} {}^{\rangle\rbrack} &
 +
{}^{\lbrack} w_3 {}^{\rbrack}
 +
\\[6pt]
 +
{}^{\lbrack\backprime\backprime} \text{B} {}^{\prime\prime\rbrack} &
 +
{}^{\lbrack\langle} \text{B} {}^{\rangle\rbrack} &
 +
{}^{\lbrack} w_4 {}^{\rbrack}
 +
\\[6pt]
 +
{}^{\lbrack\backprime\backprime} \text{i} {}^{\prime\prime\rbrack} &
 +
{}^{\lbrack\langle} \text{i} {}^{\rangle\rbrack} &
 +
{}^{\lbrack} w_5 {}^{\rbrack}
 +
\\[6pt]
 +
{}^{\lbrack\backprime\backprime} \text{u} {}^{\prime\prime\rbrack} &
 +
{}^{\lbrack\langle} \text{u} {}^{\rangle\rbrack} &
 +
{}^{\lbrack} w_6 {}^{\rbrack}
 +
\end{matrix}</math>
 +
| width="50%" |
 +
<math>\begin{matrix}
 +
{}^{\langle\lbrack} \text{A} {}^{\rbrack\rangle} &
 +
{}^{\langle\lbrack} \text{A} {}^{\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_1 {}^{\rbrack\rangle}
 +
\\[6pt]
 +
{}^{\langle\lbrack} \text{B} {}^{\rbrack\rangle} &
 +
{}^{\langle\lbrack} \text{B} {}^{\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_2 {}^{\rbrack\rangle}
 +
\\[12pt]
 +
{}^{\langle\lbrack\backprime\backprime} \text{A} {}^{\prime\prime\rbrack\rangle} &
 +
{}^{\langle\lbrack\langle} \text{A} {}^{\rangle\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_3 {}^{\rbrack\rangle}
 +
\\[6pt]
 +
{}^{\langle\lbrack\backprime\backprime} \text{B} {}^{\prime\prime\rbrack\rangle} &
 +
{}^{\langle\lbrack\langle} \text{B} {}^{\rangle\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_4 {}^{\rbrack\rangle}
 +
\\[6pt]
 +
{}^{\langle\lbrack\backprime\backprime} \text{i} {}^{\prime\prime\rbrack\rangle} &
 +
{}^{\langle\lbrack\langle} \text{i} {}^{\rangle\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_5 {}^{\rbrack\rangle}
 +
\\[6pt]
 +
{}^{\langle\lbrack\backprime\backprime} \text{u} {}^{\prime\prime\rbrack\rangle} &
 +
{}^{\langle\lbrack\langle} \text{u} {}^{\rangle\rbrack\rangle} &
 +
{}^{\langle\lbrack} w_6 {}^{\rbrack\rangle}
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:70%"
−
Table 52.2 Notation for Instances & Their Signs (2)
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|+ style="height:30px" |
−
Instance Sign of Instance
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<math>\text{Table 52.2} ~~ \text{Notations for Instances and Their Signs (2)}\!</math>
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A A w1 <A> <A> <w1>
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|- style="height:40px; background:#f0f0ff"
−
B B w2 <B> <B> <w2>
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| <math>\text{Instance}\!</math>
−
"A" <A> w3 <"A"> <<A>> <w3>
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| <math>\text{Sign of Instance}\!</math>
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"B" <B> w4 <"B"> <<B>> <w4>
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|-
−
"i" <i> w5 <"i"> <<i>> <w5>
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| width="50%" |
−
"u" <u> w6 <"u"> <<u>> <w6>
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<math>\begin{matrix}
−
</pre>
+
\overline{\text{A}} &
 +
\overline{\text{A}} &
 +
\overline{w_1}
 +
\\[6pt]
 +
\overline{\text{B}} &
 +
\overline{\text{B}} &
 +
\overline{w_2}
 +
\\[12pt]
 +
\overline{{}^{\backprime\backprime} \text{A} {}^{\prime\prime}} &
 +
\overline{{}^{\langle} \text{A} {}^{\rangle}} &
 +
\overline{w_3}
 +
\\[6pt]
 +
\overline{{}^{\backprime\backprime} \text{B} {}^{\prime\prime}} &
 +
\overline{{}^{\langle} \text{B} {}^{\rangle}} &
 +
\overline{w_4}
 +
\\[6pt]
 +
\overline{{}^{\backprime\backprime} \text{i} {}^{\prime\prime}} &
 +
\overline{{}^{\langle} \text{i} {}^{\rangle}} &
 +
\overline{w_5}
 +
\\[6pt]
 +
\overline{{}^{\backprime\backprime} \text{u} {}^{\prime\prime}} &
 +
\overline{{}^{\langle} \text{u} {}^{\rangle}} &
 +
\overline{w_6}
 +
\end{matrix}</math>
 +
| width="50%" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \overline{\text{A}} {}^{\rangle} &
 +
{}^{\langle} \overline{\text{A}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_1} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{\text{B}} {}^{\rangle} &
 +
{}^{\langle} \overline{\text{B}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_2} {}^{\rangle}
 +
\\[12pt]
 +
{}^{\langle} \overline{{}^{\backprime\backprime} \text{A} {}^{\prime\prime}} {}^{\rangle} &
 +
{}^{\langle} \overline{{}^{\langle} \text{A} {}^{\rangle}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_3} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{{}^{\backprime\backprime} \text{B} {}^{\prime\prime}} {}^{\rangle} &
 +
{}^{\langle} \overline{{}^{\langle} \text{B} {}^{\rangle}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_4} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{{}^{\backprime\backprime} \text{i} {}^{\prime\prime}} {}^{\rangle} &
 +
{}^{\langle} \overline{{}^{\langle} \text{i} {}^{\rangle}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_5} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{{}^{\backprime\backprime} \text{u} {}^{\prime\prime}} {}^{\rangle} &
 +
{}^{\langle} \overline{{}^{\langle} \text{u} {}^{\rangle}} {}^{\rangle} &
 +
{}^{\langle} \overline{w_6} {}^{\rangle}
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:70%"
−
Table 52.3 Notation for Instances & Their Signs (3)
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|+ style="height:30px" |
−
Instance Sign of Instance
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<math>\text{Table 52.3} ~~ \text{Notations for Instances and Their Signs (3)}\!</math>
−
A o1 w1 <A> <o1> <w1>
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|- style="height:40px; background:#f0f0ff"
−
B o2 w2 <B> <o2> <w2>
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| <math>\text{Instance}\!</math>
−
a s1 w3 <a> <s1> <w3>
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| <math>\text{Sign of Instance}\!</math>
−
b s2 w4 <b> <s2> <w4>
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|-
−
i s3 w5 <i> <s3> <w5>
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| width="50%" |
−
u s4 w6 <u> <s4> <w6>
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<math>\begin{matrix}
−
</pre>
+
\overline{\text{A}} &
 +
\overline{o_1} &
 +
\overline{w_1}
 +
\\[6pt]
 +
\overline{\text{B}} &
 +
\overline{o_2} &
 +
\overline{w_2}
 +
\\[12pt]
 +
\overline{\text{a}} &
 +
\overline{s_1} &
 +
\overline{w_3}
 +
\\[6pt]
 +
\overline{\text{b}} &
 +
\overline{s_2} &
 +
\overline{w_4}
 +
\\[6pt]
 +
\overline{\text{i}} &
 +
\overline{s_3} &
 +
\overline{w_5}
 +
\\[6pt]
 +
\overline{\text{u}} &
 +
\overline{s_4} &
 +
\overline{w_6}
 +
\end{matrix}</math>
 +
| width="50%" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \overline{\text{A}} {}^{\rangle} &
 +
{}^{\langle} \overline{o_1} {}^{\rangle} &
 +
{}^{\langle} \overline{w_1} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{\text{B}} {}^{\rangle} &
 +
{}^{\langle} \overline{o_2} {}^{\rangle} &
 +
{}^{\langle} \overline{w_2} {}^{\rangle}
 +
\\[12pt]
 +
{}^{\langle} \overline{\text{a}} {}^{\rangle} &
 +
{}^{\langle} \overline{s_1} {}^{\rangle} &
 +
{}^{\langle} \overline{w_3} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{\text{b}} {}^{\rangle} &
 +
{}^{\langle} \overline{s_2} {}^{\rangle} &
 +
{}^{\langle} \overline{w_4} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{\text{i}} {}^{\rangle} &
 +
{}^{\langle} \overline{s_3} {}^{\rangle} &
 +
{}^{\langle} \overline{w_5} {}^{\rangle}
 +
\\[6pt]
 +
{}^{\langle} \overline{\text{u}} {}^{\rangle} &
 +
{}^{\langle} \overline{s_4} {}^{\rangle} &
 +
{}^{\langle} \overline{w_6} {}^{\rangle}
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
Jon Awbrey
12,089

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